Newnes Mechanical Engineer's Pocket Book, Third Edition

Chapter 1: Engineering Mathematics

1.1 The Greek alphabet

Name

Symbol

Examples of use

Capital

Lower case

alpha

?

?

Angles, angular acceleration, various coefficients

beta

?

?

Angles, coefficients

gamma

?

?

Shear strain, surface tension, kinematic viscosity

delta

?

?

Differences, damping coefficient

epsilon

?

?

Linear strain

zeta

?

?

eta

?

?

Dynamic viscosity, efficiency

theta

?

?

Angles, temperature, volume strain

iota

?

?

kappa

?

?

Compressibility

lambda

?

?

Wavelength, thermal conductivity

mu

?

?

Poisson's ratio, coefficient of friction

nu

?

?

Dynamic viscosity

xi

?

?

omicron

?

?

pi

?

?

Mathematical constant

rho

?

?

Density

sigma

?

?

Normal stress, standard deviation, sum of

tau

?

?

Shear stress

upsilon

?

?

phi

?

?

Angles, heat flow rate, potential energy

chi

?

?

psi

?

?

Helix angle (gears)

omega

?

?

Angular velocity, solid angle ( ?) electrical resistance ( ?)

1.2 Mathematical symbols

Is equal to

=

Is identically equal to

?

Approaches

?

Is smaller than

<

Is smaller than or equal to

?

Magnitude of a

a

Square root of a

?a

Mean value of a

a

Sum

?

Complex operator

i, j

Imaginary part of z

Im z

Argument of z

arg z

Is not equal to

?

Is approximately equal to

?

Is proportional to

?

Is larger than

>

Is larger than or equal to

?

a raised to power n

a n

nth root...

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